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1Generate mesh with shape parameters显示文摘In CAD/CAM,mesh rather than smooth surface is only needed sometimes.A mesh-generating method from permanence principle of Coons patch is developed.A new mesh point is defined through local small subpatch and all mesh points are computed by a linear system with special symmetric block tridiagonal coefficient matrix.By simplification,the determinant of coefficient matrix is determined by determinants of submatrices.Condition of existence of solution is given.Whether coefficient matrix is singular can be judged by a simple polynomial function with the eigenvalue of submatrix as variable.Numerical examples demonstrate the effects of shape parameters.HAN Jing HAN Xuli 2013Computer Aided Drafting,Design and Manufacturing2013,23,1:0
2Parameterization based on maximum curvature minimization model显示文摘Parameterization is one of the key problems in the construction of a curve to interpolate a set of ordered points.We propose a new local parameterization method based on the curvature model in this paper.The new method determines the knots by minimizing the maximum curvature of quadratic curve.When the knots by the new method are used to construct interpolation curve,the constructed curve have good precision.We also give some comparisons of the new method with existing methods,and our method can perform better in interpolation error,and the interpolated curve is more fairing.BAN Jinjin ZHANG Caiming ZHOU Yuanfeng 2013Computer Aided Drafting,Design and Manufacturing2013,23,1:0
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